Statistics Mock Test 8 - Online MCQ Exam

The difference between the radi of the smaller circle and the bigger circle is 7cm and the difference between the area of two circles is 1078Sq.cm Radius of the smaller circle is_________?

1 Mark(s)

Your Answer:

17.5cm 17.5cm
21cm 21cm
28cm 28cm
None of these None of these

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is_________?

1 Mark(s)

Your Answer:

2 2
2 1/2 2 1/2
3 3
4 4

The speed of a boat in still water is 5 km/hr, it can go 30km upstream and return downstream to the original point in 4 hours 30 min. The speed of the stream is_______?

1 Mark(s)

Your Answer:

5km/hr 5km/hr
8 km/hr 8 km/hr
10 km/hr 10 km/hr
15 km/hr 15 km/hr

[(7 * 9) + (2 * 12) + 3]/[(12 * 3) + (81/9)] = ______?

1 Mark(s)

Your Answer:

4 4
60 60
1.75 1.75
None of these None of these

$\frac{1}{2}$ × $\frac{3}{7}$ ÷ $\frac{1}{7}$ is :

1 Mark(s)

Your Answer:

A) $\frac{3}{2}$ A) $\frac{3}{2}$
B) 4 $\frac{1}{2}$ B) 4 $\frac{1}{2}$
C) $\frac{1}{7}$ C) $\frac{1}{7}$
D) $\frac{1}{8}$ (\frac{3}{2}\) D) $\frac{1}{8}$ (\frac{3}{2}\)

If 10% is added to each value of variable, the geometric mean of new variable is added by_______________?

1 Mark(s)

Your Answer:

5% 5%
10% 10%
No Change No Change
110% 110%
90% 90%

In descriptive statistics, we study______________?

1 Mark(s)

Your Answer:

The description of decision making process
The methods for organizing, displaying, and describing data
How to describe the probability distribution
None of the above None of the above

If traveler makes a journey of 'x' km and another journey of 'y' km then the total distance covered by traveler is:

1 Mark(s)

Your Answer:

4(x + y) 4(x + y)
4(x - y) 4(x - y)
x - y x - y
x + y x + y

What will be the probability of getting odd numbers if a dice is thrown?

1 Mark(s)

Your Answer:

1/2 1/2
2 2
4/2 4/2
5/2 5/2

In the given figure, if O is the centre of a circle and AB = CD, then which of the following is correct?

1 Mark(s)

Your Answer:

A) ∠AOB ≠ ∠COD A) ∠AOB ≠ ∠COD
B) ∠AOB and ∠COD B) ∠AOB and ∠COD
C) ∠AOB and ∠COD may be or may not be equal
D) None of the above D) None of the above

A rectangular carpet has an area of 60 sq.m its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is:_________?

1 Mark(s)

Your Answer:

5m 5m
12m 12m
13m 13m
14.5m 14.5m

The arrangement of following integers 1, 2, -1, -2, 0 in ascending order is:

1 Mark(s)

Your Answer:

2, 1, 0, -1, -2 2, 1, 0, -1, -2
0, -1, -2, 1, 2 0, -1, -2, 1, 2
−2, -1, 0, 1, 2) −2, -1, 0, 1, 2)
(0, 1, 2, -1, -2) (0, 1, 2, -1, -2)

The sum of two numbers is \$50$ and their difference is \$10$. Find the larger number.

1 Mark(s)

Your Answer:

28 28
30 30
32 32
35 35

A cubic polynomial is a polynomial with degree:

1 Mark(s)

Your Answer:

A) 1 A) 1
B) 3 B) 3
C) 0 C) 0
D) 2 D) 2

In correlation, both variables are______________?

1 Mark(s)

Your Answer:

Random Random
Fixed Fixed
Non-random Non-random
Experimental Experimental

$\left(\frac{1}{x}+\frac{1}{y}\right)\left(\frac{1}{x}-\frac{1}{y}\right)$ =

1 Mark(s)

Your Answer:

A) $\frac{1}{x^2}-\frac{1}{y^2}$ A) $\frac{1}{x^2}-\frac{1}{y^2}$
B) $\frac{1}{x^2}+\frac{1}{y^2}$ B) $\frac{1}{x^2}+\frac{1}{y^2}$
C) $\frac{1}{x^2}+\frac{1}{y^2}-\frac{1}{x y}$
D) None of these (\frac{1}{x^2}-\frac{1}{y^2}\)

A period of 4 hrs 30 min is what percent of a day?

1 Mark(s)

Your Answer:

18 3/4 % 18 3/4 %
20 % 20 %
16 3/4 % 16 3/4 %
19 % 19 %

When 2 is added to half of one-third of one-fifth of a number, the result is one-fifteenth of the number. Find the number?

1 Mark(s)

Your Answer:

40 40
50 50
60 60
70 70
None of these None of these

Assertion (A) 1.032 Reason (R) We first compare the whole part then the tenths place digits and so on. If they are same at same place then continue the above process, else we are done with comparing.

1 Mark(s)

Your Answer:

A) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C) Assertion is true but Reason is false.
D) Assertion is false but Reason is true.

Which option is correct for representing an algorithm?

1 Mark(s)

Your Answer:

Pseudo codes Pseudo codes
Flow charts Flow charts
Statements in the common language Statements in the common language
All of them All of them

For any square matrix A, AA T is a

1 Mark(s)

Your Answer:

A) unit matrix A) unit matrix
B) symmetric matrix B) symmetric matrix
C) skew-symmetric matrix C) skew-symmetric matrix
D) diagonal matrix D) diagonal matrix

1 acre is equal to ________square foot?

1 Mark(s)

Your Answer:

45434 square foot 45434 square foot
34343 square foot 34343 square foot
43572 square foot 43572 square foot
43560 square foot 43560 square foot

The sum of the squares of deviations is the least when measured from____________?

1 Mark(s)

Your Answer:

A.M. A.M.
Median Median
Mode Mode
G.M. G.M.

A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?

1 Mark(s)

Your Answer:

8 kmph 8 kmph
4 kmph 4 kmph
2 kmph 2 kmph
10 kmph 10 kmph

Let the two numbers be 36 and 42. If both numbers are increased by 1, the increase in its product is

1 Mark(s)

Your Answer:

A) 78 A) 78
B) 79 B) 79
C) 81 C) 81
D) 80 D) 80

A number ending in 9 will have the unit place of its square as

1 Mark(s)

Your Answer:

A) 1 A) 1
B) 3 B) 3
C) 9 C) 9
D) 6 D) 6

Let ABCD be a rectangle. Then

1 Mark(s)

Your Answer:

A) ∠ABC = 90° A) ∠ABC = 90°
B) AC = BD B) AC = BD
C) AB = CD C) AB = CD
D) All are true D) All are true

A total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. Find the respective number of boys and girls?

1 Mark(s)

Your Answer:

70, 50 70, 50
60, 60 60, 60
50, 70 50, 70
40, 80 40, 80

If the difference between three times and seven times of a number is equal to 36, what will be the number?

1 Mark(s)

Your Answer:

9 9
4 4
1 1
8 8

Which of the following Is not in the lowest form?

1 Mark(s)

Your Answer:

A) $\frac{7}{5}$ A) $\frac{7}{5}$
B) $\frac{15}{20}$ B) $\frac{15}{20}$
C) $\frac{13}{33}$ C) $\frac{13}{33}$
D) $\frac{27}{28}$ (\frac{15}{20}\) D) $\frac{27}{28}$ (\frac{15}{20}\)

There are _________ important bases of classification of data?

1 Mark(s)

Your Answer:

Two Two
Four Four
Six Six
Three Three

A sum of Rs. 2500 amounts to Rs. 3875 in 4 years at the rate of simple interest. What is the rate of interest?

1 Mark(s)

Your Answer:

12.25% 12.25%
12% 12%
6% 6%
13.75% 13.75%

If $20x = 260$, find $x$

1 Mark(s)

Your Answer:

11 11
12 12
14 14
13 13

What is \$58\%$ of \$250$?

1 Mark(s)

Your Answer:

145 145
140 140
150 150
155 155

If a and b are two odd numbers, then which of the following is even?

1 Mark(s)

Your Answer:

a + b + 2ab a + b + 2ab
a + b + ab a + b + ab
a + b + 1 a + b + 1
None of the above None of the above

Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be

1 Mark(s)

Your Answer:

4920 cm2 4920 cm2
4727 cm2 4727 cm2
9856 cm2 9856 cm2
19712 cm2 19712 cm2

Two shorter legs of a triangle are 7 cm and 24 cm. Which conclusion is correct?

1 Mark(s)

Your Answer:

A) It is not a right-angled triangle. A) It is not a right-angled triangle.
B) Its hypotenuse is not a whole number.
C) Its hypotenuse is 25 cm. C) Its hypotenuse is 25 cm.
D) Its sides do not form a primitive Baudhayana triple

Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?

1 Mark(s)

Your Answer:

5 min 5 min
5.5 min 5.5 min
5.2 min 5.2 min
None None

If x 2 + y 2 = 1, then

1 Mark(s)

Your Answer:

A) yy” – (2y’) 2 + 1 = 0 A) yy” – (2y’) 2 + 1 = 0
B) yy” + (y’) 2 + 1 = 0 B) yy” + (y’) 2 + 1 = 0
C) yy” – (y’) 2 – 1 = 0 C) yy” – (y’) 2 – 1 = 0
D) yy” + (2y’) 2 + 1 = 0 (y’) 2 + 1 = 0

A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?

1 Mark(s)

Your Answer:

63 63
511 511
1023 1023
15 15

A person covers half the distance at \$40$ km/h and the remaining half at $60$ km/h. Find the average speed for the whole journey.

1 Mark(s)

Your Answer:

45 km/h 45 km/h
46 km/h 46 km/h
48 km/h 48 km/h
50 km/h 50 km/h

Cosθ equals to:

1 Mark(s)

Your Answer:

1 ⁄ cosecθ 1 ⁄ cosecθ
1 ⁄ secθ 1 ⁄ secθ
1 ⁄ tanθ 1 ⁄ tanθ
1 ⁄ cotθ 1 ⁄ cotθ

Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is_______?

1 Mark(s)

Your Answer:

Rs.81.60 Rs.81.60
Rs.160 Rs.160
Rs.1081.60 Rs.1081.60
Rs.99 Rs.99

The perfect square roots between 250 and 300 are:

1 Mark(s)

Your Answer:

256, 289 256, 289
252, 279 252, 279
262, 289 262, 289
272, 292 272, 292

The arithmetic mean of 10,8,6,4, and 2 is ______________?

1 Mark(s)

Your Answer:

5 5
15 15
6 6
30 30

The perimeter of a triangle of sides 2 cm, 3 cm and 4 cm is

1 Mark(s)

Your Answer:

A) 9 cm A) 9 cm
B) 18 cm B) 18 cm
C) 27 cm C) 27 cm
D) 36 cm. D) 36 cm.

The perimeter of a triangle whose sides are 1.2 cm, 3.4 cm and 1.7 cm, is

1 Mark(s)

Your Answer:

A) 6.3 cm A) 6.3 cm
B) 6.2 m B) 6.2 m
C) 6.5 cm C) 6.5 cm
D) 6.4 cm 3 cm D) 6.4 cm 3 cm

Considering the inequality, (0.8)²:

1 Mark(s)

Your Answer:

< (0.30)² < (0.30)²
< (0.40)² < (0.40)²
< (0.20)² < (0.20)²
< (0.50)² < (0.50)²

_________ statistics deals with collection, presentation and analysis of data?

1 Mark(s)

Your Answer:

Inferential Inferential
Descriptive Descriptive
Collection Collection
Two Two

A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

1 Mark(s)

Your Answer:

40 minutes 40 minutes
1 hour 1 hour
1 hr 15 min 1 hr 15 min
1 hr 30 min 1 hr 30 min

What is $\frac{5}{6} - \frac{1}{6}$?

1 Mark(s)

Your Answer:

$\frac{2}{3}$ $\frac{2}{3}$
$\frac{1}{2}$ $\frac{1}{2}$
$\frac{3}{4}$ $\frac{3}{4}$
$\frac{5}{6}$ $\frac{5}{6}$

If $x - \frac{1}{x} = 4$, find $x^2 + \frac{1}{x^2}$

1 Mark(s)

Your Answer:

16 16
18 18
20 20
22 22

Water tax is increased by 20% but its consumption is decreased by 20 %. Then, the increase or decrease in the expenditure of the money is:________?

1 Mark(s)

Your Answer:

No change No change
5 % decrease 5 % decrease
4 % increase 4 % increase
4 % decrease 4 % decrease

A can complete a work in \$15$ days. B is \$50\%$ more efficient than A. In how many days can B complete the work?

1 Mark(s)

Your Answer:

8 days 8 days
9 days 9 days
10 days 10 days
12 days 12 days

Rayyan purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a________?

1 Mark(s)

Your Answer:

loss of Rs. 200 loss of Rs. 200
loss of Rs. 100 loss of Rs. 100
profit of Rs. 100 profit of Rs. 100
profit of Rs. 200 profit of Rs. 200
None of these None of these

By solving equation 6a⁄2 - 4a⁄3 - 2a⁄4 -4 =0, the value of 'a' will be:

1 Mark(s)

Your Answer:

3 3⁄11 3 3⁄11
2 3⁄9 2 3⁄9
3 3⁄7 3 3⁄7
4 3⁄13 4 3⁄13

A trader marked the price of the T.V. 30% above the cost price of the T.V. and gave the purchaser 10% discount on the marked price, thereby gaining Rs.340. Find the cost price of the T.V?

1 Mark(s)

Your Answer:

Rs.2250 Rs.2250
Rs.2000 Rs.2000
Rs.2150 Rs.2150
Rs.2200 Rs.2200

When data are collected in a statistical study for only a portion or subset of all elements of interest we are using?

1 Mark(s)

Your Answer:

A sample A sample
A Parameter A Parameter
A Population A Population
Both b and c Both b and c

The graph obtained by joining the mid points of the tops of adjacent rectangles in histogram is called ______________?

1 Mark(s)

Your Answer:

Frequency polgon Frequency polgon
Ogive Ogive
Pie chart Pie chart
Histgram Histgram

The Compound interest on Rs 16000 for 9 months at 20% P.a compounded quarterly is:__________?

1 Mark(s)

Your Answer:

Rs 2518 Rs 2518
Rs 2520 Rs 2520
Rs 2522 Rs 2522
Rs 2524 Rs 2524

If tan -1 2x + tan -1 3x = $\frac{\pi}{4}$, then x is

1 Mark(s)

Your Answer:

A) $\frac{1}{6}$ A) $\frac{1}{6}$
B) 1 B) 1
C) ($\frac{1}{6}$, -1) C) ($\frac{1}{6}$, -1)
D) none of these (\frac{1}{6}\) D) none of these (\frac{1}{6}\)

In statistics, conducting a survey means_____________?

1 Mark(s)

Your Answer:

Collecting information from elements Collecting information from elements
Making mathematical calculations Making mathematical calculations
Drawing graphs and pictures Drawing graphs and pictures
None of the above None of the above

The ratio of the prices of three different types of cars is 4:5:7. If the difference between the costliest and the cheapest cars is Rs. 60000 the price of the car of modest price is:

1 Mark(s)

Your Answer:

Rs. 80000 Rs. 80000
Rs. 100000 Rs. 100000
Rs. 140000 Rs. 140000
Rs. 120000 Rs. 120000

If the binary operation * is defind on the set Q+ of all positive rational numbers by a * b = $\frac{a b}{4}$. Then, $3 *\left(\frac{1}{5} * \frac{1}{2}\right)$ is equal to

1 Mark(s)

Your Answer:

A) $\frac{3}{160}$ A) $\frac{3}{160}$
B) $\frac{5}{160}$ B) $\frac{5}{160}$
C) $\frac{3}{10}$ C) $\frac{3}{10}$
D) $\frac{3}{40}$ (\frac{3}{160}\) D) $\frac{3}{40}$ (\frac{3}{160}\)

π ⁄ 3 radians are equal to:

1 Mark(s)

Your Answer:

180° 180°
90° 90°
60° 60°
270° 270°

Evaluating Your Answers

Statistics Mock Test 8 : Question 1 of 65